Home
Class 11
MATHS
Find the values of the parameter 'a' for...

Find the values of the parameter 'a' for which the roots of the quadratic equation `x^2+2(a -1)x+a+5=0` are (i) real and distinct (ii) equal (iii) opposite in sign (iv) equal in magnitude but opposite in sign (v) positive (vi) negative (vii) greater than `3` (viii) smaller than `3` (ix) such that both the roots lie in the interval `(1, 3)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are real and distinct

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are real and distinct

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are real and distinct

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are greater than 3.

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are greater than 3

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are opposite in sign

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are smaller than 3

Find the values of the parameter 'a' for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are (i)positive(ii)negative

Find the values of the parameter a for which the roots of the quadratic equation x^2+2(a-1)x+a+5=0 are equal in magnitude but opposite in sign

Find the values of the parameter a for which the roots of the quadratic equation x^(2)+2(a-1)x+a+5=0 are such that both roots lie in the interval (1, 3)